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Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 10 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Geometry

Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Answers

Midpoint = (average of the x-values, average of the y-values). Distance: use Pythagoras with the horizontal and vertical changes.

1.Find the midpoint of the segment joining (1, 8) and (1, −1).

Answer: (1, 3.5)

  1. x: (1 + 1) ÷ 2 = 1
  2. y: (8 + (−1)) ÷ 2 = 3.5
2.Find the midpoint of the segment joining (−8, −4) and (−9, −2).

Answer: (−8.5, −3)

  1. x: (−8 + (−9)) ÷ 2 = −8.5
  2. y: (−4 + (−2)) ÷ 2 = −3
3.Find the midpoint of the segment joining (−7, 8) and (2, −5).

Answer: (−2.5, 1.5)

  1. x: (−7 + 2) ÷ 2 = −2.5
  2. y: (8 + (−5)) ÷ 2 = 1.5
4.Find the distance between (1, 3) and (2, 4), correct to 1 decimal place.

Answer: 1.4

  1. Horizontal change = 1, vertical change = 1
  2. d = √(12 + 12) = √2
  3. = 1.4
5.Find the midpoint of the segment joining (−6, 9) and (−9, 5).

Answer: (−7.5, 7)

  1. x: (−6 + (−9)) ÷ 2 = −7.5
  2. y: (9 + 5) ÷ 2 = 7
6.Find the distance between (−1, 0) and (6, −2), correct to 1 decimal place.

Answer: 7.3

  1. Horizontal change = 7, vertical change = 2
  2. d = √(72 + 22) = √53
  3. = 7.3
7.Find the distance between (−5, −3) and (−8, −7).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
8.Find the distance between (−4, 6) and (1, 18).

Answer: 13

  1. Horizontal change = 5, vertical change = 12
  2. d = √(52 + 122) = √169
  3. = 13
9.Find the distance between (1, −4) and (−3, 1), correct to 1 decimal place.

Answer: 6.4

  1. Horizontal change = 4, vertical change = 5
  2. d = √(42 + 52) = √41
  3. = 6.4
10.Find the distance between (−1, −2) and (5, 6).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
11.Find the midpoint of the segment joining (−3, 1) and (4, 3).

Answer: (0.5, 2)

  1. x: (−3 + 4) ÷ 2 = 0.5
  2. y: (1 + 3) ÷ 2 = 2
12.Find the midpoint of the segment joining (8, −1) and (7, −5).

Answer: (7.5, −3)

  1. x: (8 + 7) ÷ 2 = 7.5
  2. y: (−1 + (−5)) ÷ 2 = −3
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